Problem 4) Lagrange Interpolation If we interpolate the points given below with Lagrange polynomial. What is the function value when x=0.5? 1 np.random.seed(23123) # now you know 2 xs = np.random.rand(7) 3 ys = np.random.rand(7) 4 plt.plot(xs,ys, 'o') 5 5] ✓ 0.1s -- [] 0.8 0.6 0.4 0.2 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 Python D ☑

Problem 4) Lagrange Interpolation If we interpolate the points given below with Lagrange polynomial. What is the function value when x=0.5? 1 np.random.seed(23123) # now you know 2 xs = np.random.rand(7) 3 ys = np.random.rand(7) 4 plt.plot(xs,ys, 'o') 5 5] ✓ 0.1s -- [] 0.8 0.6 0.4 0.2 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 Python D ☑

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

%matplotlib inline
import numpy as np
from matplotlib import pyplot as plt
import math

np.random.seed(23123) # now you know

xs = np.random.rand(7)

ys = np.random.rand(7)

plt.plot(xs,ys,'o')

Problem 4) Lagrange Interpolation
If we interpolate the points given below with Lagrange polynomial. What is the function value when x=0.5?
1
np.random.seed(23123) # now you know
2
xs = np.random.rand(7)
3
ys = np.random.rand(7)
4
plt.plot(xs,ys, 'o')
5
5]
✓ 0.1s
--
[<matplotlib.lines. Line2D at 0x23c56d428b0>]
0.8
0.6
0.4
0.2
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
Python
D
☑

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%matplotlib inlineimport numpy as npfrom matplotlib import pyplot as pltfrom math import sin, cos, exp, pi, sqrtimport math